Think about the frequency of updates in LMDE and consider whether this "problem" really exists.
In a more direct answer to your question: I don't think it is possible because Mint's Update Manager, Software Manager and Package Manager (synaptic) all rely on apt. They are more or less GUIs for apt.
But maybe some user here can think of a way. I hope no one does because in my opinion that would be a vulnerability.
Tower: Sparky 64 bit Mate+mintmenu - Netbook: LMDE 2 Mate 32bit